14211433344 has 128 divisors (see below), whose sum is σ = 40041936000. Its totient is φ = 4453263360.

The previous prime is 14211433321. The next prime is 14211433349. The reversal of 14211433344 is 44333411241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211433349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948342 + ... + 963210.

It is an arithmetic number, because the mean of its divisors is an integer number (312827625).

Almost surely, 2^14211433344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14211433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020968000).

14211433344 is an abundant number, since it is smaller than the sum of its proper divisors (25830502656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14211433344 is a wasteful number, since it uses less digits than its factorization.

14211433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036 (or 15024 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 14211433344 its reverse (44333411241), we get a palindrome (58544844585).

The spelling of 14211433344 in words is "fourteen billion, two hundred eleven million, four hundred thirty-three thousand, three hundred forty-four".